| Project/Area Number |
11837009
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Institution | KYOTO UNIVERSITY |
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Principal Investigator |
FUJISAKA Hirokazu Graduate School of Informatics, KYOTO UNIVERSITY Professor, 情報学研究科, 教授 (40156849)
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| Co-Investigator(Kenkyū-buntansha) |
TUTU Hiroki Graduate School of Informatics, KYOTO UNIVERSITY Research Associate, 情報学研究科, 助手 (80303890)
MIYAZAKI Syuji Graduate School of Informatics, KYOTO UNIVERSITY Lecturer, 情報学研究科, 講師 (50284170)
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| Project Period (FY) |
1999 – 2000
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| Project Status |
Completed (Fiscal Year 2000)
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| Budget Amount *help |
¥3,300,000 (Direct Cost: ¥3,300,000)
Fiscal Year 2000: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1999: ¥2,500,000 (Direct Cost: ¥2,500,000)
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| Keywords | Ising spin system under oscillating field / Dynamic phase transition / Electrohydrodynamic convection / On-off intermittency / Intermittency in turbulence / Statistical theory of turbulence / Self-similarity in turbulence / 振動磁場下の相転移 / 電磁流体力学的対流不安定 |
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| Research Abstract |
1. Self-similarity statistics of on-off intermittecncy :
Right above the instability point where particular chaotic motion becomes unstabale, we found a new statistics associated with the strong temporal correlation. To analyze it, we constructed a thermodynamics formalism valid in the strong correlation region. It was found that the resulting statistical quantities agree with numerical experiments.
2. Intermittency associated with the onset of convection in systems under modulational noise :
We proposed a nonlinear stochastic model for on-off intermittent pattern evolution observed in nematic liquid crystal system under multiplicative stochastic noise. Carrying out numerical experiment, we analyzed statistical quantities in detail. Furhtermore, introducing thermal noise in an additive way, we studied the effect of thermal noise on the temporal pattern change.
3. Universal statistics in turbulence :
By carrying out numerical calculation of the OGY shell model of turbulence, velocity- and energy-dissipation-rate-stucture functions were studied from the self-similarity statistics viewpoint. We found a good agreement with the result so far proposed for structure functions. We succeeded in deriving the extended self-similarity statistical law experimentally found.
4. Dynamic phase transition in Ising spin system under periodic external field :
We elucidated that the dynamic phase transition (DPT) observed in Monte Carlo simulation of Ising spin system under periodic external field is associated with the symmetry change of periodic motions, and then approximately reconstructed the phase diagram in the frequency-amplitude space. Furthermore, deriving the reduced dynamics of local magnetizaton near DPT, we found that statistical quantities resulting from it agree with those of numerical experiment.
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